Abstract Direct Numerical Simulations (DNS) of reacting flows provide high-fidelity data for
combustion model reduction and validation, although their interpretation is not always …

The interpretation of high-dimensional data, like those obtained from Direct Numerical
Simulations (DNS) of turbulent reacting flows, constitutes one of the biggest challenges in …

The development of reduced-order combustion models able to accurately reproduce the
physics of reactive systems has been a highly challenging aspect of numerical combustion …

This book is a graduate-level review of the theory and application of methods for the
analysis of large datasets generated in experiments and simulations of reactive turbulent …

Principal component analysis has demonstrated promise in its ability to identify low-
dimensional chemical manifolds in turbulent reacting systems by providing a basis for the a …

Numerical simulations of multi-dimensional laminar flames with complex kinetic
mechanisms are computationally very demanding, because of the large number of species …

Probability density function (PDF) based turbulent combustion modeling is limited by the
need to store multi-dimensional PDF tables that can take up large amounts of memory. A …

Abstract Principal Component Analysis can be used to reduce the cost of Computational
Fluid Dynamics simulations of turbulent reacting flows by reducing the dimensionality of the …

As data-intensive techniques proliferate across many scientific disciplines, new criteria for
more objective interpretation and a priori evaluation are required to reconcile data-driven …

Turbulent combustion modeling often faces a trade-off between the so-called flamelet-like
models and PDF-like models. Flamelet-like models, are characterized by a choice of a …